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Finding the Fourth Proportional to 1,076.67, 1,615.20 and 427.45

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Solution

The fourth proportional to 1,076.67, 1,615.20 and 427.45 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.67 : 1,615.20 = 427.45 : x
  2. Step 2: Convert to fraction form
    1,076.67/1,615.20 = 427.45/x
  3. Step 3: Cross multiply
    1,076.67x = 1,615.20 × 427.45
  4. Step 4: Simplify right side
    1,076.67x = 690,417.24
  5. Step 5: Solve for x
    x = 690,417.24/1,076.67
  6. Step 6: Final answer
    x = 641.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.